Let X be a continuous random variable with PDF fX(x) = ( 2x for 0 < x
Question:
Let X be a continuous random variable with PDF fX(x) =
(
2x for 0 < x < 1 , 0 otherwise.
a. Find E(X) and Var(X).
b. Suppose X1, X2, . . . , X40 are independent, each with the same distribution as X, and let Xsum = X1 + X2 + . . . + X40 .
What is the approximate distribution of Xsum?
c. What is the approximate distribution of the sample mean, X?
d. Specify an interval within which X will fall with roughly 95% probability.
e. Specify an interval within which X will fall with roughly 99.7% probability.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Mathematics And Statistics For Science
ISBN: 9783031053177
1st Edition
Authors: James Sneyd, Rachel M. Fewster, Duncan McGillivray
Question Posted: